Weighted inequalities for harmonic means.

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Ele-Math

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Abstract

We characterize the weighted weak and strong type (p, q) inequalities for the harmonic averaging operator Tf(x) = x/∫0x 1/f in the cases 0 < p ≤ q < ∞ and 0 < q < p < ∞.

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https://mia.ele-math.com/open-access

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Ortega, Pedro & Ramírez Torreblanca, Consuelo. (2006). Weighted inequalities for harmonic means. Mathematical Inequalities & Applications. 9. 10.7153/mia-09-39

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Except where otherwised noted, this item's license is described as Attribution-NonCommercial 4.0 Internacional